Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems

Marcos Rigol
Phys. Rev. Lett. 116, 100601 – Published 9 March 2016

Abstract

We study quantum quenches between integrable and nonintegrable hard-core boson models in the thermodynamic limit with numerical linked cluster expansions. We show that while quenches in which the initial state is a thermal equilibrium state of an integrable model and the final Hamiltonian is nonintegrable (quantum chaotic) lead to thermalization, the reverse is not true. While this might appear counterintuitive given the fact that the eigenstates of both Hamiltonians are related by a unitary transformation, we argue that it is generic. Hence, the lack of thermalization of integrable systems is robust against quenches starting from stationary states of nonintegrable ones. Nonintegrable systems thermalize independently of the nature of the initial Hamiltonian.

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  • Received 16 November 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.100601

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Marcos Rigol

  • Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA

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Issue

Vol. 116, Iss. 10 — 11 March 2016

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